Find the change of basis matrix [B]• 2 -{[0]·[15]} = { [0]·[4]} C 4 B

Q: 6. Let ƒ(x) = |x| on R, prove that there is no (an) s.t. Σẵ_0 ªnx” = f(x) for any x E R. (hint: f(x)…

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Q: 6. Show that the special orthogonal group is compact. SO(n) := {A = O(n)| det A = 1}

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Q: 2. A 96 units² B

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Q: 1 3 -1 2 2 -1 10 5 -1 11 4 4 1 9 1 4

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Q: Let A={a,b,c,d, e) and B = {d,e,f,g, h,i}. The cardinality of the set |BXAVAXB| is: A B D 30 26 4

A: Cardinality of the set.

Q: find the monthly mortgage loan payment for a $185,000 loan at 4.6% for 30 years.

A: The objective of this question is to calculate the monthly mortgage payment for a loan of $185,000…

Q: find the monthly mortgage loan payment for a $174,000 loan at 2.2% for 30 years.

A: The objective of this question is to calculate the monthly mortgage payment for a loan of $174,000…

Q: d) -3x+6y=5 x + 2y = 6

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Q: Let K and E be the extension of a field F with [K: F] finite and assume that both K and E ar…

A: Let K and E be the extension of a field F with [K:F] finite and assume that both K and E…

Q: Find a positive value of k for which y = sin(kt.) satisfies 22 k d'y dt² +y=0.

A: We have to evaluate the value of k such that solution  satisfies,differential equation…

Q: find the monthly mortgage loan payment for a $187,000 loan at 4.0% for 20 years.

A: The objective of this question is to calculate the monthly mortgage payment for a loan of $187,000…

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Q: Given this multiple-line chart, find the total number of chairs and sofas sold during June. (Note:…

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Q: A house sells for $155,000 and a 10% down payment is made. A mortgage was secured at 5.7% for 25…

A: The given informations are as follows.Find the amount of the mortgage as follows.

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Q: Let R` be the set of real numbers with the lower limit topology (the collection of the intervals [a,…

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Q: The arch of a train tunnel is in the shape of a parabola. The maximum height of the tunnel is 20 m.…

A: Given that the arch of a train tunnel is in the shape of a parabola. The maximum height of the…

Q: Find an orthogonal basis of the null space of the following matrix: 1 3 10 11 9 -1 2 5 4 1 2 -1 -1 1…

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Q: Find the inverse Laplace transform for the F(s): F(s) = = s² 4s + 12 Hint: You may need to…

A: The given Laplace function .The aim is to find the inverse Laplace transform of the function.

Q: 5. ) Let P3 := {ao + a₁x + a2x² + a3x³|ao, a1, a2, a3 € R} be the vector space of polynomials of…

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Q: 1. If 0 ≤ b ≤ 2, for what value of b is (A) 0 (B) 0.452 (C) 1.145 (D) 1.550 (E) 2 So cos cos(e) dx a…

A: The given problem is to find the value of b for which the integral is minimum.Given integral,, where…

Q: Verify the product law for differentiation, (AB)' = A'B + AB' where A(t) = B(t) = 1-t 1+t 21² 21³ 3…

A: We have to verify the product law for differentiation, (AB)'= A'B + AB'

Q: Solve the system below. IH + 5y -5x + 25y 25y -2x + +3w z + 19w = 10yz + 10w = The particular…

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Q: Consider the following variation of the Lotka-Volterra predator prey model N = N(a - BN - YP) P =…

A: Given the Lotka-Volterra modelAssume .

Q: 3. A liquid flows in a region of space in such a way that its speed is given as a function of the…

A: Given

Q: Find the following limits. You may use any theorem we have proved, such as Arithmetic of Limits.…

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Q: ind an antiderivative G of g(z) z²

A: We have to find the antiderivative of the given function.

Q: -2xy has zero Find the directions in the xy-plane in which the function f(x,y) = e¹ change at the…

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Q: 7. Observer Design Consider the system represented in state variable form x = Ax + Bu y = Cx + Du 4…

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Q: Use the graph to evaluate each expression. (a) (f + g) ( − 2) (b) (f - g)(1) (c) (fg) (0) (d) (1)…

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Q: Consider the following. 49 7 -7-y ſªº √√ √¹¯³ ƒ(x, y, z)dzdydx Rewrite this integral as an…

A: To rewrite this integral as an equivalent iterated integral in the five other orders, we have to…

Q: Find the orthogonal projection of v = projy(v) = [B] -2 -20 3 onto the subspace V of R³ spanned by 4…

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Q: The curves f(x)= 3-x^2 and g(x) =e^(2x)-1 are shown in the figure. Let R be the shaded region…

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Q: (b) Construct the full table of values for h. (Make sure to use the 'preferred' names for classes in…

A: Given h: is defined by h([a])=[3a-5]We have to find all values of h i.e, all elements of a of  and…

Q: 4. Find the smallest positive odd integer n such that o(n) 7680 n 12121 You should do this by a…

A: We have to find the smallest positive odd integer n such that

Q: Determine the Laplace transform of the function. a) L[5+cos(3t)+2e³¹ ] =

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Q: Find general solutions for the following differential equations (a) x²y" - xy + y = 2xlnx + 10

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Q: Determine the product of AxB, if the modules of A and B are 8. A=12 kN and B-6 kN, 0= 60° 9. A=5 lbf…

A: We have to determine

Q: What vector v is given by the coordinate vector B = { 9x +4, 4x + 6 }. [3] ? B

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Q: Write the vector v = B - 3 8 {[][]}· 8 -2 as a coordinate vector with respect to the basis

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Q: Question 3 (a) Determine the partial derivatives of the following functions with respect to each of…

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Q: What is the relation between An B and AnB ? Justify your

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Q: is an approximate identity as 1-o i.e. 1 x lydy 1o, prove that ₁ (y) = -=-³x²₁x₁² e ₁) = 1

A: If  then each component of y is independent. So if we consider each component of y is normal…

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Q: Set Pegion up in 2 2 the indegual 929 -√x²+y²+z² dv over the J. the where 2 ≤ √ 4-3²²-4² SE 1⁰k…

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Q: Students are asked to prove the following statement: Theorem: A - (BNC) = (A − B)~ (A − C). One…

A: The objective of the question is to verify the correctness of the student's proof for the theorem: A…

Q: Question 4 Let f(x, y, z) = ze³-7y. Find (a) fr (b) fy (c) ƒ.(1,0,1).

A: Given that  (a)                                                                        (b)…